Length of rectangle is 16 cm and diagonal is 20cm. find the breath
Answers
Answer:
12
Step-by-step explanation:
here we can can apply pythogoras theorem.. take hypotenuse =20 perpendicular side =16 by Applying you will get the answer 12
Question:-
The length of rectangle is 16cm and diagonal is of 20cm find the breadth.
Solution:-
Given:-
1. length of rectangle are 16 cm and diagonal is of 20 cm respectively.
let, AB = CD = 16 cm and
AC = BD = 20 cm.
Find:-
1. Area of rectangle.
we know
The property of rectangle:-
1. interior angles of rectangle are of 90°.
2. opposite side of rectangle are equal.
3. diagonals of rectangle bisect each other at 90°.
4. both diagonals of rectangle are equal.
So now
To find length of side
we use Pythagoras theorem.
=> (AC)² = (AB)² + (BC)²
=> (20)² = (16)² + (BC)²
=> 400 = 256 + (BC)²
=> (BC)²= 400 - 256
=> (BC)² = 144
=> BC = √144
=> BC = 12 cm.
so BC = AD = 12 cm.
Hence breadth of rectangle
is 12 cm.
i hope it helps you.